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An approach for minimizing a quadratically constrained fractional quadratic problem with application to the communications over wireless channels

文献类型：期刊论文

作者Cai, Hongyan1,2; Wang, Yanfei3; Yi, Tao4
刊名OPTIMIZATION METHODS & SOFTWARE
出版日期2014-03-04
卷号29期号:2页码:310-320
关键词fractional quadratic problem optimization SDP relaxation randomization method SNR
ISSN号1055-6788
DOI10.1080/10556788.2012.711330
文献子类Article
英文摘要Studies for the cognitive model are relatively new in the literature; however there is a growing interest in the communication field nowadays. This paper considers the cognitive model in the communication field as the problem of minimizing a fractional quadratic problem, subject to two or more quadratic constraints in complex field. Although both denominator and numerator in the fractional problem are convex, this problem is not so simple since the quotient of convex functions is not convex in most cases. We first change the fractional problem into a non-fractional one. Second, we consider the semi-definite programming (SDP) method. For the problem with m (m2) constraints, we use the SDP relaxation and obtain the exact optimal solution. However, for the problem with m (m>2) constraints, we choose the randomization method to gain an approximation solution in the complex case. At last, we apply this method to practical communications over wireless channels with good results.
WOS关键词OPTIMIZATION ; MAXIMIZATION ; MINIMIZATION ; RATIOS ; BOUNDS ; SUM
WOS研究方向Computer Science ; Operations Research & Management Science ; Mathematics
语种英语
WOS记录号WOS:000326672400008
出版者TAYLOR & FRANCIS LTD
资助机构National Natural Science Foundation of China(10971017 ; National Natural Science Foundation of China(10971017 ; Knowledge Innovation Programs of Chinese Academy of Sciences(KZCX2-YW-QN107) ; Knowledge Innovation Programs of Chinese Academy of Sciences(KZCX2-YW-QN107) ; 40974075) ; 40974075) ; National Natural Science Foundation of China(10971017 ; National Natural Science Foundation of China(10971017 ; Knowledge Innovation Programs of Chinese Academy of Sciences(KZCX2-YW-QN107) ; Knowledge Innovation Programs of Chinese Academy of Sciences(KZCX2-YW-QN107) ; 40974075) ; 40974075) ; National Natural Science Foundation of China(10971017 ; National Natural Science Foundation of China(10971017 ; Knowledge Innovation Programs of Chinese Academy of Sciences(KZCX2-YW-QN107) ; Knowledge Innovation Programs of Chinese Academy of Sciences(KZCX2-YW-QN107) ; 40974075) ; 40974075) ; National Natural Science Foundation of China(10971017 ; National Natural Science Foundation of China(10971017 ; Knowledge Innovation Programs of Chinese Academy of Sciences(KZCX2-YW-QN107) ; Knowledge Innovation Programs of Chinese Academy of Sciences(KZCX2-YW-QN107) ; 40974075) ; 40974075)
源URL[http://ir.iggcas.ac.cn/handle/132A11/86150]  
专题中国科学院地质与地球物理研究所
通讯作者Wang, Yanfei
作者单位1.Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
2.Hebei Univ Econ & Business, Coll Math & Stat, Shijiazhuang 050061, Peoples R China
3.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing 100029, Peoples R China
4.Beijing Univ Posts & Telecommun, Sch Informat & Commun Engn, Beijing 100876, Peoples R China
推荐引用方式
GB/T 7714		 Cai, Hongyan,Wang, Yanfei,Yi, Tao. An approach for minimizing a quadratically constrained fractional quadratic problem with application to the communications over wireless channels[J]. OPTIMIZATION METHODS & SOFTWARE,2014,29(2):310-320.
APA Cai, Hongyan,Wang, Yanfei,&Yi, Tao.(2014).An approach for minimizing a quadratically constrained fractional quadratic problem with application to the communications over wireless channels.OPTIMIZATION METHODS & SOFTWARE,29(2),310-320.
MLA Cai, Hongyan,et al."An approach for minimizing a quadratically constrained fractional quadratic problem with application to the communications over wireless channels".OPTIMIZATION METHODS & SOFTWARE 29.2(2014):310-320.

入库方式： OAI收割

来源：地质与地球物理研究所

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